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WorksheetsComplete the Square A=1
Total questions: 13
Worksheet time: 27mins
Name
Class
Date
1.
What do you do to the b value to correctly complete the square?
a)
square it
b)
divide it by 2 and square the result
c)
divide it by 2 and take the square root of the result
d)
divide it by 2 only
2.
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
x2 = 9 - 4x
a)
the -4x
b)
the 9
c)
the x2
3.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
4.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
5.
When do you use the plus or minus symbol?
±
±
a)
After taking the square root of both sides
b)
After adding the square to both sides
c)
After taking half of b
d)
After setting the equation equal to zero
6.
What is one of the solutions to this equation?
(2x - 1)2 = 49
(2x - 1)2 = 49
a)
7
b)
-7
c)
-4
d)
-3
7.
Solve the following equation by completing the square:
n2 - 2n - 3 = 0
n2 - 2n - 3 = 0
a)
{3, -1}
b)
{4, -4}
c)
{5, -3}
d)
{8, -7}
8.
Solve the following equation by completing the square:
n2 = 18n + 40
n2 = 18n + 40
a)
{11, -11}
b)
{16, 2}
c)
{20, -2}
d)
{10, -4}
9.
Simplify √56
a)
4√14
b)
2√14
c)
2√27
d)
4√7
10.
Simplify √800.
a)
10√8
b)
5√32
c)
12√2
d)
20√2
11.
Solve by completing the square:
k2 − 12k + 23 = 0
k2 − 12k + 23 = 0
a)
{6 + √13, 6 - √13}
b)
{-6 + √13, -6 - √13}
c)
{6 + √59, 6 - √59}
d)
{-6 + √59, -6 - √59}
12.
Solve by completing the square:
v2 + 6v − 59 = 0
v2 + 6v − 59 = 0
a)
{-5 + 5√2, -5 - 5√2}
b)
{5 + 5√2, 5 - 5√2}
c)
{-3 + 2√17, -3 - 2√17}
d)
{3 + 2√17, 3 - 2√17}
13.
Solve this quadratic by completing the square. What are the two roots?
2x2+ 12x - 32 = 0
2x2+ 12x - 32 = 0
a)
-8 and 2
b)
-2 and 8
c)
3 and -1
d)
-3 and -5
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